Relation between Green’s functions for different potentials |
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| Authors: | S S Vasan M Seetharaman K Raghunathan |
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| Institution: | (1) Department of Theoretical Physics, University of Madras, Guindy Gampus, 600 025 Madras, India |
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| Abstract: | A general relation between the energy-dependent Green’s functions for different potentials is derived in a simple and direct manner. This interesting connection enables the eigenstates of one physical system to be deduced from those of a related system. The derivation is based on the Schrödinger equation and provides an independent justification for the technique of path-dependent time transformation used in path integration. |
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| Keywords: | Propagator Green’ s function path integral hydrogen atom solvable potentials |
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